{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1e9350da-74bd-4ff6-9c7a-31b833ac204d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bce8852e-e99b-452e-89ad-e1418fb848dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 选择图片和标签数据\n",
    "target = 3\n",
    "data_name = ['0618', '0854', '1066'][target - 1]\n",
    "# img_path = f'../input_data/{data_name}.png'  # 原图路径\n",
    "# output_features_filename = f'./Features/{data_name}_PCA_features.npy'  # 数据输出路径\n",
    "# output_labels_filename = f'./Features/{data_name}_PCA_labels.npy'  # 数据输出路径\n",
    "\n",
    "# img = cv2.imread(img_path)\n",
    "# image = img.reshape(-1, 3) #BGR\n",
    "# print(image.shape)\n",
    "# print(type(image))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b021f980-490b-4f7e-a5ca-5d0a0d1db8e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1250, 28)\n",
      "<class 'pandas.core.frame.DataFrame'>\n"
     ]
    }
   ],
   "source": [
    "csv_path = f'../RGB_data/UniformSampler_{data_name}_3x3_multi_labelme.csv'  \n",
    "output_features_filename = f'./Features/{data_name}_PCA3x3_features.npy'  # 数据输出路径\n",
    "output_labels_filename   = f'./Features/{data_name}_PCA3x3_labels.npy'  # 数据输出路径\n",
    "output_img = f'./img/{data_name}_PCA3x3_img.png'\n",
    "\n",
    "data = pd.read_csv(csv_path)\n",
    "print(data.shape)\n",
    "print(type(data))\n",
    "# 最后一列是标签，前27列是特征\n",
    "X = data.iloc[:, :-1].values  # 特征数据\n",
    "y = data.iloc[:, -1].values   # 标签数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "47973943-5d8c-47db-929d-7c2f88789f31",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "# scaler = StandardScaler()\n",
    "# image_scaled = scaler.fit_transform(image)\n",
    "\n",
    "# pca = PCA(n_components='mle', svd_solver='full')\n",
    "\n",
    "# image_pca = pca.fit_transform(image_scaled)\n",
    "# print(image_pca.shape)\n",
    "# print(type(image_pca))\n",
    "# print(image_pca)\n",
    "\n",
    "# # 获取PCA的主成分个数\n",
    "# n_components = pca.n_components_\n",
    "\n",
    "# # 初始化标签数组\n",
    "# labels = np.zeros(image_pca.shape[0], dtype=int)  # 用于存储每个样本的标签\n",
    "\n",
    "# # 遍历所有主成分并生成标签\n",
    "# for i in range(n_components):\n",
    "#     pca_component = image_pca[:, i]\n",
    "    \n",
    "#     # 使用中位数作为阈值划分标签\n",
    "#     threshold = np.median(pca_component)\n",
    "    \n",
    "#     # 如果主成分值大于阈值，标签为1，否则为0\n",
    "#     labels += (pca_component > threshold).astype(int) * (2 ** i)  # 每个主成分的标签通过不同的位加权\n",
    "\n",
    "# # 确保标签值在合理范围内\n",
    "# labels = np.clip(labels, 0, 2**n_components - 1)\n",
    "# print(lab\n",
    "# # 保存PCA特征和标签\n",
    "# np.save(output_features_filename, image_pca)\n",
    "# np.save(output_labels_filename, labels)\n",
    "\n",
    "# print(f'PCA选择的主成分个数: {n_components}')\n",
    "# print(f'生成的标签数量: {len(np.unique(labels))}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "187ef978-6a04-4788-a5a3-56120a4b4bff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "降维后的特征形状: (1250, 26)\n",
      "主成分个数: 26\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 数据标准化\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X)\n",
    "\n",
    "# 使用PCA进行降维\n",
    "pca = PCA(n_components='mle', svd_solver='full')\n",
    "X_pca = pca.fit_transform(X_scaled)\n",
    "\n",
    "print(f\"降维后的特征形状: {X_pca.shape}\")\n",
    "print(f\"主成分个数: {pca.n_components_}\")\n",
    "\n",
    "# 保存PCA降维后的特征和标签\n",
    "np.save(output_features_filename, X_pca)\n",
    "np.save(output_labels_filename, y)\n",
    "\n",
    "# 2D\n",
    "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=y, cmap='viridis')\n",
    "plt.colorbar()\n",
    "plt.xlabel('component 1')\n",
    "plt.ylabel('component 2')\n",
    "# plt.title('PCA')\n",
    "plt.savefig(output_img)\n",
    "plt.show()\n",
    "\n",
    "# # # 3D\n",
    "# # 可视化PCA降维后的数据（3D图）\n",
    "# fig = plt.figure(figsize=(10, 8))\n",
    "# ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "# # 绘制3D散点图，使用标签颜色区分\n",
    "# scatter = ax.scatter(X_pca[:, 0], X_pca[:, 1], X_pca[:, 2], c=y, cmap='viridis')\n",
    "\n",
    "# # 添加标签和标题\n",
    "# ax.set_xlabel('主成分 1')\n",
    "# ax.set_ylabel('主成分 2')\n",
    "# ax.set_zlabel('主成分 3')\n",
    "# ax.set_title('PCA降维后的3D数据')\n",
    "\n",
    "# # 添加颜色条\n",
    "# fig.colorbar(scatter)\n",
    "\n",
    "# # 显示图形\n",
    "# plt.show()"
   ]
  },
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   "metadata": {},
   "outputs": [],
   "source": []
  }
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